Cannot View Calendars Between On-Premises Exchange 2007 and Office 365 Environments

Cross premise permissions will not replicate to cloud when you moved the mailboxes to office365. So, if there are any mailboxes/calendars can't be accessible for the permissions set.

However, the calendar view is possible based on your organization relationship, how it is configured. Please run the below command.

Get-OrganizationRelationship |fl FreeBusyAccessEnabled,FreeBusyAccessLevel

FreeBusyAccessEnabled : True/False (should be true)
FreeBusyAccessLevel   :  (None | AvailabilityOnly | LimitedDetails) (Should not be none)

Use, Set-OrganizationRelationship  to make the changes accordingly.

This is what I get whenever I attempt to the Get-OrganizationRelationship commandlet on both the hybrid server and the Exchange 2007 server:

The term 'Get-OrganizationRelationship' is not recognized as the name of a cmdlet, function, script
 file, or operable program. Check the spelling of the name, or if a path was included, verify that
the path is correct and try again.
At line:1 char:29
+ Get-OrganizationRelationship <<<<  |fl FreeBusyAccessEnabled,FreeBusyAccessLevel
    + CategoryInfo          : ObjectNotFound: (Get-OrganizationRelationship:String) [], CommandNot
   FoundException
    + FullyQualifiedErrorId : CommandNotFoundException

The term 'Get-OrganizationRelationship' is not recognized as the name of a cmdlet, function, script
 file, or operable program. Check the spelling of the name, or if a path was included, verify that
the path is correct and try again.
At line:1 char:29
+ Get-OrganizationRelationship <<<<  |fl FreeBusyAccessEnabled,FreeBusyAccessLevel
    + CategoryInfo          : ObjectNotFound: (Get-OrganizationRelationship:String) [], CommandNot
   FoundException
    + FullyQualifiedErrorId : CommandNotFoundException

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How did you do the migration? Don't you have exchange 2010 servers in your setup?

Could you paste the results of this>?

Get-AvailabilityAddressSpace |fl

Are you able to see the freebusy information of cloud mailboxes from onpremises?

I ran the Get-OrganizationRelationship |fl FreeBusyAccessEnabled,FreeBusyAccessLevel commandlet in a regular powershell instance not a EMS instance. Below is the output I received when I ran the commandlet in EMS on my Exchange 2013 hybrid:

FreeBusyAccessEnabled: True
FreeBusyAccessLevel:      LimitDetails

Sorry, is this your onpremise details or cloud instance?

On-premises.

Then your organization relationship is set to share the freebusy information with your cloud users. What are you using for synchronization, ADFS?

Just check when is the last sync happened.

Is it happening for all existing onpremise users or any new users?

Honestly, I don't know what we are using to share the free/busy info; how would I check? A consultant is handling a lot of the configuration.

The issue of not being able to see calendars only affects on-prem to cloud and vice versa. All on-prem users can see each others' calendars but not on-prem to cloud.